Many natural collections of small particles, such as cosmic and terrestrial dust, mineral and organic particles suspended in sea water, and fine sediments, have a size distribution well formulated by the equation N = Kx−c, where N is the number of particles larger than size x and K and c are constants. A number of equations are derived for calculating the interesting parameters characterizing hyperbolic distribution, which are illustrated by new Coulter Counter measurements of dust and sea water. An appendix lists useful equations, generalized for different size parameters.
ABSTRACT. Ernst Sorge, a member of Wegener's Gre enland Expedition '930-3', discovered an important law on the densification of snow in high polar glaciers. It is here given a simple mathematical form and some of its implications are formulated and discussed. Apart from its significance to glaciology and snow mechanics, Sorge's law should also be useful in the study of consolidation of accumulating fine-grained lacustrian and oceanic sediments.Z USAMMENFASSUNG. Ernst S orge, Mitglied der vVegener Griinland expedition '930-3' , entdeckte ein wichtiges G esetz Gber di e Schneeverdi chtung auf polaren G letschern . D as G esetz wird hier einfach mathematisch formuliert und d iskutiert . N eb en seiner Bede utung fUr die Gletsche rkunde und der Schneemechanik sollte Sorges Gesetz a uch in d er Unters uchung d er K o nso lidation \'on akkumulierenden, feinkiirnigen, lakustrischen und ozeanischen Sedimenten Anwendung find en .
Ernst Sorge, a member of Wegener’s Greenland Expedition 1930–31, discovered an important law on the densification of snow in high polar glaciers. It is here given a simple mathematical form and some of its implications are formulated and discussed. Apart from its significance to glaciology and snow mechanics, Sorge’s law should also be useful in the study of consolidation of accumulating fine-grained lacustrian and oceanic sediments.
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